Design: Blocked Cluster RCT, with 3 levels, and randomization done at level 2 (school level).
Models: random and fixed treatment effects.
Default parameters:
Parameters by model type:
\(\bar{n}\) = 100
\(\bar{n}\) = 75
\(\bar{n}\) = 50
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6
\(R^2_3 =\) 0.6, 0.6, 0.6
\(R^2_1 =\) 0, 0, 0 \(R^2_2 =\) 0, 0, 0 \(R^2_3 =\) 0, 0, 0
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.7, 0.7, 0.7
\(\text{ICC}_3\) = 0.7, 0.7, 0.7
\(\omega_3\) = 0.8
\(\omega_3\) = 0.8 \(\text{ICC}_3\) = 0.7, 0.7, 0.7
##
##
## +------------+---------------+---------------+-------------+
## | MTP | Adjusted MDES | D1indiv Power | Target MDES |
## +============+===============+===============+=============+
## | rawp | 0.126 | 0.517 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Bonferroni | 0.125 | 0.34 | 0.125 |
## +------------+---------------+---------------+-------------+
## | BH | 0.127 | 0.447 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Holm | 0.125 | 0.398 | 0.125 |
## +------------+---------------+---------------+-------------+
##
## Table: blocked_c2_3f
##
##
## +------------+---------------+---------------+-------------+
## | MTP | Adjusted MDES | D1indiv Power | Target MDES |
## +============+===============+===============+=============+
## | rawp | 0.125 | 0.261 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Bonferroni | 0.125 | 0.104 | 0.125 |
## +------------+---------------+---------------+-------------+
## | BH | 0.124 | 0.161 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Holm | 0.129 | 0.139 | 0.125 |
## +------------+---------------+---------------+-------------+
##
## Table: blocked_c2_3r
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | K | 11 | 0.441 | 10 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | K | 10 | 0.386 | 10 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_c2_3f
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | K | 10 | 0.168 | 10 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | K | 10 | 0.125 | 10 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_c2_3r